@article{10_21136_CMJ_1975_101350,
author = {\v{S}t\v{e}dr\'y, Milan and Vejvoda, Otto},
title = {Periodic solutions to weakly nonlinear autonomous wave equations},
journal = {Czechoslovak Mathematical Journal},
pages = {536--555},
year = {1975},
volume = {25},
number = {4},
doi = {10.21136/CMJ.1975.101350},
mrnumber = {0393762},
zbl = {0319.35052},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1975.101350/}
}
TY - JOUR AU - Štědrý, Milan AU - Vejvoda, Otto TI - Periodic solutions to weakly nonlinear autonomous wave equations JO - Czechoslovak Mathematical Journal PY - 1975 SP - 536 EP - 555 VL - 25 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1975.101350/ DO - 10.21136/CMJ.1975.101350 LA - en ID - 10_21136_CMJ_1975_101350 ER -
%0 Journal Article %A Štědrý, Milan %A Vejvoda, Otto %T Periodic solutions to weakly nonlinear autonomous wave equations %J Czechoslovak Mathematical Journal %D 1975 %P 536-555 %V 25 %N 4 %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1975.101350/ %R 10.21136/CMJ.1975.101350 %G en %F 10_21136_CMJ_1975_101350
Štědrý, Milan; Vejvoda, Otto. Periodic solutions to weakly nonlinear autonomous wave equations. Czechoslovak Mathematical Journal, Tome 25 (1975) no. 4, pp. 536-555. doi: 10.21136/CMJ.1975.101350
[1] M. S. Berger: On periodic solutions of nonlinear hyperbolic equations and the calculus of variations. Bull. Amer. Math. Soc, 76 (1970), 633-637. | DOI | MR | Zbl
[2] M. S. Berger: Stationary states for a nonlinear wave equation. J. Math. Physics, 11 (1970), 2906--2912. | DOI | MR | Zbl
[3] M. S. Berger: On the existence and structure of stationary states for a nonlinear Klein-Gordan equation. J. Functional Analysis, 9 (1972), 249-261. | DOI | MR
[4] J. P. Fink W. S. Hall: Entrainment of frequency in evolution equation. J. Diff. Eq. 14 (1973), 9-41 | DOI | MR
[5] J. P. Fink W. S. Hall S. Khalili: Perturbation expansions for some nonlinear wave equations. SIAM J. Appl. Math. 24 (1973), 575-595. | DOI | MR
[6] B. A. Fleishman: Progressing waves in an infinite nonlinear string. Proc. Amer. Math. Soc. 10 (1959), 329-334. | DOI | MR
[7] J. B. Keller L. Ting: Periodic vibrations of systems governed by nonlinear partial differential equations. Comm. Pure Appl. Math. 19 (1966), 371-420. | DOI | MR
[8] J. Kurzweil: Exponentially stable integral manifolds, averaging principle and continuous dependence on a parameter. Czech. Math. J. 16 (91) (1966), 380-423, 463-491. | MR | Zbl
[9] J. Kurzweil: Van der Pol perturbation of the equation for a vibrating string. Czech. Math. J. 77 (92), (1967), 558-608. | MR | Zbl
[10] M. H. Millman J. B. Keller: Perturbation theory of nonlinear boundary-value problems. J. Math. Physics, 10 (1969), 342-361. | DOI | MR
[11] K. Petiau: Sur une généralisation non linéaire de la mécanique ondulatoire et les propriétés des fonctions d'ondes correspondantes. Nuovo Cimento, 9 (1958), 542-568. | DOI | MR | Zbl
[12] S. I. Pochozajev: On periodic solutions of some nonlinear hyperbolic equations. (Russian), Dokl. AN SSSR, 198 (1971), 1274-1277. | MR
[13] O. Vejvoda: Periodic solutions of a linear and weakly nonlinear wave equation in one dimension I. Czech. Math. J. 14 (1964), 341-382. | MR
[14] O. Vejvoda: The mixed problem and periodic solutions for a linear and weakly nonlinear wave equation in one dimension. Rozpravy ČSAV, řada mat. a přir. věd, 80 (1970), 5, Academia, Praha. | MR | Zbl
[15] V. A. Vitt: Self-excited transmission lines. (Russian), Žurn. Teoret. Fiz., 4 (1934), 144-157.
[16] M. E, Žabotinskij: On periodic solutions of nonlinear partial differential equations. Dokl. AN SSSR, 56 (1947), 469-472. | MR
Cité par Sources :